Supra semi preopen sets in supra topological spaces | ||
Journal of University of Anbar for Pure Science | ||
Article 44, Volume 17, Issue 2, December 2023, Pages 360-363 PDF (387.72 K) | ||
Document Type: Research Paper | ||
DOI: 10.37652/juaps.2023.181587 | ||
Authors | ||
N. A. Nadhim* 1; Ahmed Hanoon Abud2 | ||
1Department of Mathematics, Faculty of Education for pure science, University of AL-Anbar, AL-Anbar, Iraq. | ||
2Department of Mathematics, College of Science, University of AL-Mustnsiriyah, Baghdad, Iraq; | ||
Abstract | ||
The purpose of this article is to provide a new set which is supra semi preopen set via supra topological space ( , ). with the help of some examples and properties. Also, some of their properties have been investigate. With we illustrate the relationships between this concept and supra preopen set (respectively, supra open set). Also, we define two spaces which are supra semi pre compact and supra semi pre Lindelöf spaces with the relationships between them. At the end of this work, we provide some examples, properties to support this work. | ||
Keywords | ||
supra topological space; preopen set; supra preopen set; supra semi preopen set; supra pre compact space | ||
Supplementary Files
|
||
References | ||
[1] A. S. Mashhour, A. A. Allam, F. S. Mahmoud, F. H. Khedr. (1983). On supra topological space. Indian Journal of Pure and Applied Mathematics, 14, 502-510.
[2] O. R. Sayed. (2012). Supra β-connectedness on topological spaces. Pakistan Academy of Sciences, 49, 19-23.
[3] O. R. Sayed. (2010). Supra pre-open sets and supra pre-continuity on topological spaces, Scientific Studies and Research, 20, 79-88.
[4] Abo-elhamaye and T. M. Al-shami. (2016). Supra homeomorphism in supra topological ordered spaces, Facts Universitatis, Series: Mathematics and Informatics, 31 (5) , 1091-1106.
[5] N. K. Humadi, H. J. Ali. (2019). Supra ωb-separation axioms. Al-Mustnsiriyah Journal of Science, 30, 88-95.
[6] T. M. Al-Shami. (2016). Some results related to supra topological spaces. Journal of Advanced Studies in Topology, 7, 283-294.
[7] T. M. Al-Shami. B. A. Asaad. M. A. El-Gayar. (2020). Various Types of Supra Pre-compact and Supra Pre-Lindelöf Spaces. Missouri J. Math. Sci. 32 (1) 1-20, May2020. https://doi.org/10.35834/2020/3201001.
[8] M. K. R. S. Veera Kumar. (2002). Pre semi – closed sets. Indian Journal of Mathematics, Vol. 44, No.2,165- 181. | ||
Statistics Article View: 91 PDF Download: 71 |